100211010101201 has 32 divisors (see below), whose sum is σ = 105307927216128. Its totient is φ = 95246657291520.

The previous prime is 100211010101149. The next prime is 100211010101231. The reversal of 100211010101201 is 102101010112001.

It is a cyclic number.

It is not a de Polignac number, because 100211010101201 - 2³⁸ = 99936132194257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211010101231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174722716 + ... + 1174808018.

It is an arithmetic number, because the mean of its divisors is an integer number (3290872725504).

Almost surely, 2^{100211010101201} is an apocalyptic number.

It is an amenable number.

100211010101201 is a deficient number, since it is larger than the sum of its proper divisors (5096917114927).

100211010101201 is a wasteful number, since it uses less digits than its factorization.

100211010101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88461.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100211010101201 its reverse (102101010112001), we get a palindrome (202312020213202).

The spelling of 100211010101201 in words is "one hundred trillion, two hundred eleven billion, ten million, one hundred one thousand, two hundred one".